Finding the Fourth Proportional to 13,084.54, 19,627.26 and 5,188.56

Step by Step Solution

1. Step 1: Write the proportion equation
   13,084.54 : 19,627.26 = 5,188.56 : x
2. Step 2: Convert to fraction form
   13,084.54/19,627.26 = 5,188.56/x
3. Step 3: Cross multiply
   13,084.54x = 19,627.26 × 5,188.56
4. Step 4: Simplify right side
   13,084.54x = 101,837,216.15
5. Step 5: Solve for x
   x = 101,837,216.15/13,084.54
6. Step 6: Final answer
   x = 7,783.02